A formulation of optimal stochastic design of mechanisms considering tolerances on the link lengths and clearances in the joints is presented. The mechanical error is analyzed for the 3σ band of confidence level through a new stochastic model of a four-bar linkage. A multiobjective optimization problem with two objective functions, mechanical error and manufacturing cost, is considered by a weighting method. Tolerance widths and nominal clearance sizes are taken as design variables. The conflicting nature between the two objectives is represented in the form of tradeoff curves. A concept of loop closure error is also introduced and applied to optimum design of the nominal linkage system and the stochastic linkage system. Numerical results are given for a four-bar function generator and a four-bar path generator.
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September 1988
This article was originally published in
Journal of Mechanisms, Transmissions, and Automation in Design
Research Papers
Optimal Stochastic Design of Four-Bar Mechanisms for Tolerance and Clearance
Je Ha Rhyu,
Je Ha Rhyu
Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, Seoul, Korea
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Byung Man Kwak
Byung Man Kwak
Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, Seoul, Korea
Search for other works by this author on:
Je Ha Rhyu
Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, Seoul, Korea
Byung Man Kwak
Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, Seoul, Korea
J. Mech., Trans., and Automation. Sep 1988, 110(3): 255-262 (8 pages)
Published Online: September 1, 1988
Article history
Received:
July 1, 1986
Online:
November 19, 2009
Citation
Rhyu, J. H., and Kwak, B. M. (September 1, 1988). "Optimal Stochastic Design of Four-Bar Mechanisms for Tolerance and Clearance." ASME. J. Mech., Trans., and Automation. September 1988; 110(3): 255–262. https://doi.org/10.1115/1.3267455
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